Slope
Slope intercept form
Standard form
Point slope form
Story problems
100
What does the slope formula look like?
(y2 - y1) / (x2 - x1)
100
What does the equation for Slope-Intercept Form look like?
y = mx + b
100
What is the equation look like for Standard Form?
Ax + By = C
100
What does the equation for Point-Slope Form look like?
y - y1 = m (x - x1)
100
An electrician charges a fee of $75 plus $30 per hour of labor. Write an equation in slope intercept form.
what do the slope and y intercept represent?
y=30x+75
Slope: payment of $30 dollars every hour worked
y-intercept: initial charge of $75
200
Calculate the slope of a line that goes through (-1 , 3) and (-2 , -5)
m = 8
200
What is the slope and the y-intercept?
y=-2/3x-7
m=-2/3
b=-7
200
Write in standard form
4y = 3x - 7
-3x + 4y = - 7
200
Write in point slope form given the following information.
m = 5
(0 , 4)
y - 4 = 5(x - 0)
200
A kayak rental company charges a $30 dollar fee plus $6 per hour. If the bill was $60, how many hours was the kayak rented for?
Write an equation to help you solve.
y=6x+30
5 hours
300
Find the slope between the 2 points.
(14,-5) ; (19,-5)
0
300
what is the slope and y-intercept?
y=x
slope: 1
y-intercept: 0
300
write in standard form
y=1/4 x-3
Not fully standard:
-1/4x+y=-3
Fully standard:
-x+4y=-12
300
Write in point slope form given the following info:
(2 , 3) and (1 , -2)
y + 2 = 5( x - 1)
or
y - 3 = 5( x - 2)
300
Your family has $20 to spend on macaroni salad and potato salad for the family reunion. The macaroni salad costs $1.50 per pound and the potato salad costs $2.00 per pound. Write an equation that represents the cost of the salad your family buys for the reunion.
1.50x+2y=20
400
write an equation for a line with an undefined slope that passes through the point (2,0)
x=2
400
Write the equation that describes the line in Slope-Intercept Form.
slope = 0 and (6, -8) is on the line
y = -8
400
What is the x and y intercept of the following equation?
5x - 8y = 80
x intercept = 16
y intercept = -10
400
Describe step by step how to graph in point slope form.
y - 3 = 4/5 ( x + 2)
Answers will vary
1.) pull out given ordered pair (-2,3) and plot on graph
2.) pull out slope m=4/5 and use slope to build to next point with rise over run.
400
a. 12 city blocks (y-intercept)
b. 10 minutes (x-intercept)
c.
y=-6/5 x+12
500
Find the slope of the line described by the equation.
8x + 2y = 96
-4
500
Write the equation in Slope-Intercept Form.
5x - 2y + 6 = 10
y = 5/2 x - 2
500
Describe step by step how to graph something in standard form
Answers may vary.
1.) find the y intercept (plug in zero for x)
2.) find the x intercept (plug in zero for y)
3.) Plot both intercepts on the graph
4.) connect the intercepts with a line.
500
Write in slope intercept form
m=4
(3,7)
y=4x-5
500
24 short sleeved shirts for 0 long sleeve.
20 long sleeve shirts for 0 short sleeve.